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JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Topic Test - Thermometry, Calorimetry & Thermal Expansion

  • question_answer
    A uniform metallic object of circular shape which is free to expand in every direction is shown in figure. The parameter which will not increase on heating the object is :

    A) x (gap)                                   

    B) r (radius of circle)

    C) \[\theta \] (angle formed at centre)          

    D) t(thickness)

    Correct Answer: C

    Solution :

     
    \[\theta =\frac{x}{r}\]
    \[\Rightarrow \]\[\theta '\text{ }=\frac{x+\Delta x}{R+\Delta R}=\frac{x\left( 1+\text{ }\alpha \Delta T \right)}{R\left( 1+\text{ }\alpha \Delta T \right)}=\frac{x}{R}\]
    So, \[\text{ }\!\!\theta\!\!\text{ }\] will remains constant rest all will increase.  


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